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Finding the Third Proportional to 1,027,408 and 1,611,644

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Solution

The third proportional to 1,027,408 and 1,611,644 is: 2,528,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,408 : 1,611,644 = 1,611,644 : x
  2. Step 2: Convert to fraction form
    1,027,408/1,611,644 = 1,611,644/x
  3. Step 3: Cross multiply
    1,027,408x = 1,611,644 × 1,611,644
  4. Step 4: Simplify right side
    1,027,408x = 2,597,396,382,736
  5. Step 5: Solve for x
    x = 2,597,396,382,736/1,027,408
  6. Step 6: Final answer
    x = 2,528,106.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.